6 papers
Selection of the fittest or selection of the luckiest: the emergence of Goodhart's law in evolution
Bastien Mallein, Francesco Paparella, Emmanuel Schertzer +1
Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection…
The Derrida-Retaux model on a geometric Galton-Watson tree
Gerold Alsmeyer, Yueyun Hu, Bastien Mallein
We consider a generalized Derrida-Retaux model on a Galton-Watson tree with a geometric offspring distribution. For a class of recursive systems, including the Derrida-Retaux model…
Extremal Process of Last Progeny Modified Branching Random Walks
Partha Pratim Ghosh, Bastien Mallein
We consider a last progeny modified branching random walk, in which the position of each particle at the last generation is modified by an i.i.d. copy of a random variable .…
Elephants explore in spirals sometimes
Lucile Laulin, Bastien Mallein
We consider in this article an Elephant Random Walk evolving in the plane. Specifically, this is a reinforced stochastic process in which the th step is given by a random rotati…
Freezing in the Infinite-Bin Model
Bastien Mallein, Sanjay Ramassamy, Arvind Singh
The infinite-bin model is a one-dimensional particle system on introduced by Foss and Konstantopoulos in relation with last passage percolation on complete directed ac…
Reinforced Galton--Watson processes III: Empirical offspring distributions
Jean Bertoin, Bastien Mallein
Reinforced Galton--Watson processes describe the dynamics of a population where reproduction events are reinforced, in the sense that offspring numbers of forebears can be repeated…